Adaptive grid methods for Q-tensor theory of liquid crystals : a one-dimensional feasibility study
Ramage, A. and Newton, C.J.P. (2008) Adaptive grid methods for Q-tensor theory of liquid crystals : a one-dimensional feasibility study. Molecular Crystals and Liquid Crystals, 480 (1). pp. 160-181. ISSN 1542-1406 (https://doi.org/10.1080/15421400701826225)
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Abstract
This paper illustrates the use of moving mesh methods for solving partial differential equation (PDE) problems in Q-tensor theory of liquid crystals. We present the results of an initial study using a simple one-dimensional test problem which illustrates the feasibility of applying adaptive grid techniques in such situations. We describe how the grids are computed using an equidistribution principle, and investigate the comparative accuracy of adaptive and uniform grid strategies, both theoretically and via numerical examples.
ORCID iDs
Ramage, A. ORCID: https://orcid.org/0000-0003-4709-0691 and Newton, C.J.P.;-
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Item type: Article ID code: 13298 Dates: DateEvent1 January 2008PublishedSubjects: Science > Mathematics > Probabilities. Mathematical statistics
Science > MathematicsDepartment: Faculty of Science > Mathematics and Statistics Depositing user: Mrs Irene Spencer Date deposited: 13 Nov 2009 11:58 Last modified: 12 Dec 2024 02:20 URI: https://strathprints.strath.ac.uk/id/eprint/13298